Solve for x. cos(6x) = sin(3x - 9)

QUESTION POSTED AT 29/05/2020 - 01:13 AM

Answered by admin AT 29/05/2020 - 01:13 AM

Answer:

Value of x is, 11

Step-by-step explanation:

Using the trigonometry identity :

\sin (90-\theta)=\cos \theta

As per the statement:

Solve for x.

\cos(6x) = \sin(3x - 9)

Apply the trigonometry identity we have;

\sin (90-6x) = \sin (3x-9)

On comparing both sides we have;

90-6x = 3x-9

Add 6x to both sides we have;

90-6x+6x = 3x-9+6x

Simplify:

90= -9+9x

Add 9 from both sides we have;

99= 9x

Divide both sides by 9 we have;

11= x

or

x =11

Therefore, the value of x is, 11.

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